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Article Dans Une Revue Physics Letters A Année : 2002

Anomalous dimension exponents on fractal structures for the Ising and three-state Potts model

Résumé

We provide an overall picture of the magnetic critical behavior of the Ising and three-state Potts models on fractal structures. The results brought out fromMonte Carlo simulations for several Hausdorff dimensions between 1 and 3 show that this behavior can be understood in the framework of weak universality. Moreover, the maxima of the susceptibility follow power laws in a very reliable way, which allows us to calculate the ratio of the exponents γ/ν and the anomalous dimension exponent η in a reliable way. At last, the evolution of these exponents with the Hausdorff dimension is discussed.

Dates et versions

hal-00522896 , version 1 (02-10-2010)

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Pascal Monceau, Pai-Yi Hsiao. Anomalous dimension exponents on fractal structures for the Ising and three-state Potts model. Physics Letters A, 2002, 300 (6), pp.687-690. ⟨10.1016/S0375-9601(02)00898-8⟩. ⟨hal-00522896⟩
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